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Finding the Fourth Proportional to 2,585.82, 3,876.60 and 1,197.38

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Solution

The fourth proportional to 2,585.82, 3,876.60 and 1,197.38 is: 1,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.82 : 3,876.60 = 1,197.38 : x
  2. Step 2: Convert to fraction form
    2,585.82/3,876.60 = 1,197.38/x
  3. Step 3: Cross multiply
    2,585.82x = 3,876.60 × 1,197.38
  4. Step 4: Simplify right side
    2,585.82x = 4,641,763.31
  5. Step 5: Solve for x
    x = 4,641,763.31/2,585.82
  6. Step 6: Final answer
    x = 1,795.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.